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20022009
most citedEnumerative properties of generalized associahedra

53 citations

Showing 2007Show all

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math.PR20072 cited

Central limit theorem for sampled sums of dependent random variables

Nadine Guillotin-Plantard, Clémentine Prieur

We prove a central limit theorem for linear triangular arrays under weak dependence conditions. Our result is then applied to the study of dependent random variables sampled by a $…

math-ph2007

Statistical properties of Pauli matrices going through noisy channels

Stéphane Attal, Nadine Guillotin-Plantard

We study the statistical properties of the triplet of Pauli matrices going through a sequence of noisy channels, modeled by the repetition of a general, trace-prese…

math-ph2007

Repeated Quantum Interactions and Unitary Random Walks

Stéphane Attal, Ameur Dhahri

Among the discrete evolution equations describing a quantum system $\rH_S$ undergoing repeated quantum interactions with a chain of exterior systems, we study and characterize thos…

math.CO2007

Irrationalité aux entiers impairs positifs d'un q-analogue de la fonction zeta de Riemann

Frederic Jouhet, Elie Mosaki

In this paper, we focus on a q-analogue of the Riemann zeta function at positive integers, which can be written for s\in\N^* by ζ_q(s)=\sum_{k\geq 1}q^k\sum_{d|k}d^{s-1}. We give a…

math.CO2007

Euler-Mahonian Statistics On Ordered Set Partitions (II)

Anisse Kasraoui, Jiang Zeng

We study statistics on ordered set partitions whose generating functions are related to -Stirling numbers of the second kind. The main purpose of this paper is to provide bije…

math-ph2007

-uniqueness of Schrödinger operators restricted in an open domain

Ludovic Dan Lemle

Consider the Schrödinger operator acting on space , where is an open domain in . The main purpose of this paper is to present the $…